Abstract
A general nonresonance theory of semilinear operator equations under regularity conditions is developed. Existence of weak solutions (in the energetic space) is established by means of several fixed point principles. Typical applications to elliptic equations with convection terms are presented.
Authors
Dezideriu Muzsi
Department of Applied Mathematics Babes–Bolyai University
Radu Precup
Department of Mathematics Babes-Bolyai University, Cluj-Napoca, Romania
Keywords
nonlinear operator equation, fixed point, nonresonance, eigenvalues, energetic norm, elliptic equation.
Paper coordinates
D. Muzsi, R. Precup, Nonresonance theory for semilinear operator equations under regularity conditions, Annals of the Tiberiu Popoviciu Seminar of Functional Equations, Approximation and Convexity, 6 (2008), 75-89.
About this paper
Journal
Annals of the Tiberiu Popoviciu Seminar
of Functional Equations, Approximation and Convexity
Publisher Name
DOI
Print ISSN
Online ISSN
1584-4536
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